y-1/3-2=3y+1/2 eching

$$\frac { y - 1 } { 3 } - 2 = \frac { 3 y + 1 } { 2 }$$

y uchun yechish

$$y = -\frac{17}{7} = -2\frac{3}{7} \approx -2,428571429$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 6 ga, 3,2 ning eng kichik karralisiga ko‘paytiring.

$$2\left(y-1\right)-12=3\left(3y+1\right)$$

2 ga y-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2y-2-12=3\left(3y+1\right)$$

-14 olish uchun -2 dan 12 ni ayirish.

$$2y-14=3\left(3y+1\right)$$

3 ga 3y+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$2y-14=9y+3$$

Ikkala tarafdan 9y ni ayirish.

$$2y-14-9y=3$$

-7y ni olish uchun 2y va -9y ni birlashtirish.

$$-7y-14=3$$

14 ni ikki tarafga qo’shing.

$$-7y=3+14$$

17 olish uchun 3 va 14'ni qo'shing.

$$-7y=17$$

Ikki tarafini -7 ga bo‘ling.

$$y=\frac{17}{-7}$$

\frac{17}{-7} kasri manfiy belgini olib tashlash bilan -\frac{17}{7} sifatida qayta yozilishi mumkin.

$$y=-\frac{17}{7}$$